# The height BH of the parallelogram ABCD divides its side AD into segments AH = 1 and HD = 63

May 31, 2020 | Education

| **The height BH of the parallelogram ABCD divides its side AD into segments AH = 1 and HD = 63. The diagonal of the parallelogram BD is 65. Find the area of the parallelogram**

Consider the triangle BDH.

This triangle is right-angled; therefore, we can apply the Pythagorean theorem:

BD2 = HD2 + BH2

65 ^ 2 = 63 ^ 2 + BH ^ 2

4225 = 3969 + BH ^ 2

BH ^ 2 = 256

Bh = 16

Find the area of the parallelogram:

S = AD * BH = (AH + HD) * BH = (1 + 63) * 16 = 1024

Answer: 1024

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.